T. Nakakita et M. Umezu, STABILITY ANALYSIS OF THE SOLUTIONS OF THE LOCAL MIXING-THEORY OF CONVECTION WITH CONVECTIVE HELIUM FLUX, Monthly Notices of the Royal Astronomical Society, 271(1), 1994, pp. 57-65
A stability analysis of the two solutions of the extended local mixing
-length theory (Umezu & Nakakita) has been performed. It is found that
the gamma1-convection is stable while the gamma2-convection is unstab
le with the ordinarily accepted values of parameters. By linear stabil
ity analysis, it can be shown that the maximum DELTA(mu) in stable con
vection is smaller than the value previously given by us and hence tha
n the Ledoux-Sakashita-Hayashi criterion.